Answer
The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.
Step-by-step explanation:
The length of the monkeys rope = 75 feet long
Each side of the hexagon shaped facility = 30 feet
Note that, 1 feet = 0.3048 m
if we convert 30 feet to Meter, we have,
30 × 0.3048 = 9.144
Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building
75 feet × 0.304 meter = 22.86 meters.
So the total area the monkey will be able to cover will be
= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.
You know that the average house price is $250,000 dollars
Median means medium
For this case we have to:
x: Let the variable representing the number of people to travel in the group
y: Let the variable representing the number of miles traveled.
If friends only have $22 then we have the following inequality:
![2.50x + 0.75y \leq22](https://tex.z-dn.net/?f=2.50x%20%2B%200.75y%20%5Cleq22)
Now, if there are three people in the group we have that ![x = 3.](https://tex.z-dn.net/?f=x%20%3D%203.)
![2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33](https://tex.z-dn.net/?f=2.50%20%283%29%20%2B%200.75y%20%5Cleq22%5C%5C7.5%20%2B%200.75y%20%5Cleq22%5C%5C0.75y%20%5Cleq22-7.5%5C%5C0.75y%20%5Cleq14.5%5C%5Cy%5Cleq%20%5Cfrac%20%7B14.5%7D%20%7B0.75%7D%5C%5Cy%5Cleq19.33)
The taxi can travel a maximum of 19.33 miles.
On the other hand, if the group wants to travel 10 miles then we have to y = 10.
![2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8](https://tex.z-dn.net/?f=2.50x%20%2B%200.75%20%2810%29%20%5Cleq22%5C%5C2.50x%20%2B%207.5%20%5Cleq22%5C%5C2.50x%20%5Cleq22-7.5%5C%5C2.50x%20%5Cleq14.5%5C%5Cx%5Cleq%20%5Cfrac%20%7B14.5%7D%20%7B2.50%7D%5C%5Cx%20%5Cleq5.8)
Thus, they could travel a maximum of 5 people.
ANswer:
![2.50x + 0.75y \leq22](https://tex.z-dn.net/?f=2.50x%20%2B%200.75y%20%5Cleq22)
Traveling 3 people, the taxi can travel a maximum of 19.33 miles
Traveling 10 miles, a maximum of 5 people can travel
Answer:
fully simplified answer: x^2-2x+8
Step-by-step explanation: